{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Motivating examples\n",
    "This document shows how SparseSC can be used in places where simple difference-in-differences can't."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "#%matplotlib inline\n",
    "\n",
    "try:\n",
    "    import SparseSC as SC\n",
    "except ImportError:\n",
    "    raise RuntimeError(\"SparseSC is not installed. use 'pip install -e .' from repo root to install in dev mode\")\n",
    "\n",
    "import sys\n",
    "sys.path.insert(0, \".\")\n",
    "import example_graphs\n",
    "\n",
    "def simple_summ(ret, Y):\n",
    "    fit = ret.fit\n",
    "    V = ret.get_V()[0]\n",
    "    print(\"V_pen=%s, W_pen=%s\" % (fit.fitted_v_pen, fit.fitted_w_pen))\n",
    "    print(\"V=%s\" % V)\n",
    "    print(\"Treated weights: sim=%s, uns=%s, sum=%s\" % (fit.sc_weights[0,49], fit.sc_weights[0,99], sum(fit.sc_weights[0,:])))\n",
    "    print(\"Sim Con weights: sim=%s, uns=%s, sum=%s\" % (fit.sc_weights[1,49], fit.sc_weights[1,99], sum(fit.sc_weights[1,:])))\n",
    "    print(\"Uns Con weights: sim=%s, uns=%s, sum=%s\" % (fit.sc_weights[51,49], fit.sc_weights[51,99], sum(fit.sc_weights[51,:])))\n",
    "    Y_sc = fit.predict(Y)\n",
    "    print(\"Treated diff: %s\" % (Y - Y_sc)[0,:])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#make sure the results are the same each time we run\n",
    "random.seed(12345) \n",
    "np.random.seed(12345)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setup common data parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "N1,N0_sim,N0_not = 2,50,50\n",
    "N0 = N0_sim + N0_not\n",
    "N=N1+N0\n",
    "treated_units = range(N1)\n",
    "control_units = list(set(range(N)) - set(treated_units))\n",
    "T0,T1 = 5, 5\n",
    "T=T0+T1\n",
    "unit_treatment_periods = np.full((N), -1)\n",
    "unit_treatment_periods[treated_units] = T0\n",
    "proto_te = np.hstack((np.zeros((1,T0)), np.full((1,T1), 2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Differential Trends"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "proto_sim = np.array(range(0,T,1),ndmin=2)\n",
    "proto_not = np.array(range(0,2*T,2),ndmin=2)\n",
    "proto_tr  = proto_sim + proto_te\n",
    "Y1 = np.matmul(np.ones((N1,1)), proto_tr)\n",
    "Y0_sim = np.matmul(np.ones((N0_sim,1)), proto_sim) + \\\n",
    "    np.hstack((np.zeros((N0_sim,T0)),np.random.normal(0,.4,(N0_sim,T1))))\n",
    "Y0_not = np.matmul(np.ones((N0_not,1)), proto_not)+ \\\n",
    "    np.hstack((np.zeros((N0_sim,T0)),np.random.normal(0,.4,(N0_sim,T1))))\n",
    "Y = np.vstack((Y1,Y0_sim,Y0_not))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Motivation: Treated unit does not look like a simple average of controls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x276f89ee470>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_graphs.raw(Y, treated_units, control_units, T0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Analyze"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "V_pen=0.000791049380656, W_pen=1e-05\n",
      "V=[  0.          15.88477448   0.           0.           0.        ]\n",
      "Treated weights: sim=0.007928681239, uns=0.00595637258089, sum=0.702181372197\n",
      "Sim Con weights: sim=0.00799999991082, uns=0.00600000005754, sum=0.699999998382\n",
      "Uns Con weights: sim=0.00799999991082, uns=0.00600000005754, sum=0.699999998382\n",
      "Treated diff: [  0.00000000e+00  -1.24163302e-09  -2.48326604e-09  -3.72490350e-09\n",
      "  -4.96653207e-09   2.00286864e+00   2.02434790e+00   2.00439243e+00\n",
      "   1.96676028e+00   1.93918985e+00]\n"
     ]
    }
   ],
   "source": [
    "unit_treatment_periods = np.full((N), np.nan)\n",
    "unit_treatment_periods[treated_units[0]] = T0\n",
    "      \n",
    "ret = SC.estimate_effects(Y, unit_treatment_periods, max_n_pl=200) #Do fast\n",
    "simple_summ(ret, Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x276fd189908>)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_graphs.diffs_plot(ret.Y - ret.get_sc(), treated_units, control_units, T0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x276fd2b4048>)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_graphs.sc_raw(ret, T0, treated_units[0])\n",
    "#example_graphs.sc_diff(ret, T0, treated_units[0]) #same as te when just 1\n",
    "example_graphs.te_plot(ret, T0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Different cycles "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "proto_sim = np.array([0,2,1,3,2,4,3,5,4,6],ndmin=2)\n",
    "proto_not = np.array([0,1,2,6,3,4,5,6,10,7],ndmin=2)\n",
    "proto_tr  = proto_sim + proto_te\n",
    "Y1 = np.matmul(np.ones((N1,1)), proto_tr)\n",
    "Y0_sim = np.matmul(np.ones((N0_sim,1)), proto_sim) + \\\n",
    "    np.random.normal(0,.3,(N0_sim,T))\n",
    "Y0_not = np.matmul(np.ones((N0_not,1)), proto_not) + \\\n",
    "    np.random.normal(0,.3,(N0_sim,T))\n",
    "Y = np.vstack((Y1,Y0_sim,Y0_not))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Motivation: Treated unit does not look like a simple average of controls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x276fd29d668>)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_graphs.raw(Y, treated_units, control_units, T0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Analyze"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "V_pen=0.0047778012479, W_pen=0.744380301325\n",
      "V=[ 0.21687186  0.53863296  0.74655992  1.50121362  0.40128371]\n",
      "Treated weights: sim=0.0173286350602, uns=0.00118480867392, sum=0.977126772906\n",
      "Sim Con weights: sim=0.0176559982357, uns=0.00122185749239, sum=0.976590775574\n",
      "Uns Con weights: sim=0.0137861024852, uns=0.00158792445747, sum=0.8530973997\n",
      "Treated diff: [  7.86100579e-03   1.26472063e-02  -3.88972229e-03  -7.85369861e-04\n",
      "  -7.97409241e-04   2.10825916e+00   2.06235414e+00   1.94016069e+00\n",
      "   1.78558656e+00   2.11894388e+00]\n"
     ]
    }
   ],
   "source": [
    "unit_treatment_periods = np.full((N), np.nan)\n",
    "unit_treatment_periods[treated_units[0]] = T0\n",
    "      \n",
    "ret = SC.estimate_effects(Y, unit_treatment_periods, max_n_pl=200, ret_CI=True)\n",
    "simple_summ(ret, Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x276fd3bd828>)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_graphs.diffs_plot(ret.Y - ret.get_sc(), treated_units, control_units, T0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 432x288 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x276fd4d6c18>)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_graphs.sc_raw(ret, T0, treated_units[0])\n",
    "#example_graphs.sc_diff(ret, T0, treated_units[0]) #same as te when just 1\n",
    "example_graphs.te_plot(ret, T0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
